Find the distance between the origin and the point :
(15, -8)

Answer

To find the distance between the origin (0, 0) and the point (15, -8), we will use the distance formula. The distance formula is given by:

\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]

Where:
- \((x_1, y_1)\) are the coordinates of the first point (the origin in this case),
- \((x_2, y_2)\) are the coordinates of the second point (15, -8).

### Step-by-Step Solution:

1. **Identify the Points**:
- The origin is \((x_1, y_1) = (0, 0)\).
- The point is \((x_2, y_2) = (15, -8)\).

2. **Substitute the Coordinates into the Distance Formula**:
\[ d = \sqrt{(15 - 0)^2 + (-8 - 0)^2} \]

3. **Simplify the Expression**:
\[ d = \sqrt{(15)^2 + (-8)^2} \]

4. **Calculate the Squares**:
- \(15^2 = 225\)
- \((-8)^2 = 64\)

So, we have:
\[ d = \sqrt{225 + 64} \]

5. **Add the Results**:
\[ d = \sqrt{289} \]

6. **Calculate the Square Root**:
\[ d = 17 \]

### Final Answer:
The distance between the origin and the point (15, -8) is **17 units**.

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